CONVERSION & DIMENSIONAL ANALYSIS “FACTOR” OR UNIT “LABEL” METHOD.

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Presentation transcript:

CONVERSION & DIMENSIONAL ANALYSIS “FACTOR” OR UNIT “LABEL” METHOD

DIMENSIONAL ANALYSIS Used to convert one measured quantity into its equivalent quantity of a different unit Uses equality statements to create conversion factors 1 foot = 12 inches Equality statements are written as fractions Callled conversion problems

SETTING UP CONVERSION PROBLEMS 1.Write down all “=“ statements (equality statements) that will get you from CURRENT unit to the NEW unit. 2.Make fractions out of all or your “=“ statements 1.You should have two for each one 2.Should be reciprocals of each other 3.Write the given amount with units on the LEFT

4.Choose the fraction that will cancel out numerators units with denominator units 5.Use calculator and read from left to right (choose either method) 1.Precede each numerator with multiplication sign and each denominator with division sign 2.Enter all numerators with multiplication signs and then all denominators with division signs

QUICK LIST: 1.List what you NEED to know 2.List ALL conversion factors that you know 3.Choose the conversion factors that will cancel out between numerators and denominators 4.Set up your “fences” 5.Solve using your calculator

PRACTICE PROBLEMS 1.How many inches are in 1.25 miles? 2.How many inches are in 24 cm? 3.How many cubic inches are there in 1.0 Liters? 4.How many liters are in 50 mL (use dimensional analysis, NOT the jump chart)? 5.How many hours are in a year?